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A Hermite reproducing kernel meshfree method is present for the free and forced vibration analysis of Kirchhoff plates. This formulation provides a straightforward and robust way to construct C1 approximation to investigate the dynamic response of Kirchhoff plates. The Hermite reproducing kernel approximation of the plate deflection is formulated using the deflectional as well as the rotational nodal...
Variants of the facility location problem have been studied extensively in the operations research and management science literatures. In this paper, we present a new analysis method of a simple greedy algorithm for the uncapacitated facility location problem. We achieve an approximation guarantee of 1.5749 better than 1.853, which is the approximation ratio provided by the combinatorial approximation...
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